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The perimeter generating function of punctured staircase polygons

Anthony J. Guttmann·Iwan Jensen
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Abstract

Using a simple transfer matrix approach we have derived very long series expansions for the perimeter generating function of punctured staircase polygons (staircase polygons with a single internal staircase hole). We find that all the terms in the generating function can be reproduced from a linear Fuchsian differential equation of order 8. We perform an analysis of the properties of the differential equation.

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Anthony J. Guttmann, Iwan Jensen. 2006-03-31. The perimeter generating function of punctured staircase polygons. https://doi.org/10.1088/0305-4470%2F39%2F15%2F002

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